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Zepler [3.9K]
4 years ago
9

Solve the equation. Round the answer to the nearest tenth. 3.6x = 5.5

Mathematics
1 answer:
Dima020 [189]4 years ago
3 0
The answer would be 1.52777777777778, rounded to the nearest tenth would be x=1.5
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The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi
djyliett [7]

Answer:

C(d) = \frac{1}{5}d + 320

Step-by-step explanation:

Given

d \to miles

C \to cost

So:

(d_1,C_1) = (500,420) --- May

(d_2,C_2) = (620,444) --- June

Required

Express as a function

Start by calculating the slope (m)

m = \frac{\triangle C}{\triangle d}

m = \frac{444-420}{620-500}

m = \frac{24}{120}

Simplify

m = \frac{1}{5}

The equation is:

C(d) = m(d - d_1) +C_1

C(d) = \frac{1}{5}(d - 500) +420

C(d) = \frac{1}{5}d - 100 +420

Take LCM

C(d) = \frac{1}{5}d + 320

6 0
3 years ago
Free poi.nts but if you can figure this out:
Digiron [165]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
7. John worked 32 hours last week and 28 hours this week. If he gets paid
AlladinOne [14]

Answer:

$630

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week 1 : $336

week 2 : $294

gross pay : $630

6 0
3 years ago
5p + 6 = -4p - 8<br> Solve for p
Fofino [41]
9p=-14

p=-14/9 is the answer to the problem

5p+4p+6= -8
9p= -8-6
9p=-14
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7 0
3 years ago
What is the effect in the time required to solve a prob- lem when you double the size of the input from n to 2n, assuming that t
Inga [223]

Answer:

f(2n)-f(n)=log2

b.lg(lg2+lgn)-lglgn

c. f(2n)/f(n)=2

d.2nlg2+nlgn

e.f(2n)/(n)=4

f.f(2n)/f(n)=8

g. f(2n)/f(n)=2

Step-by-step explanation:

What is the effect in the time required to solve a prob- lem when you double the size of the input from n to 2n, assuming that the number of milliseconds the algorithm uses to solve the problem with input size n is each of these function? [Express your answer in the simplest form pos- sible, either as a ratio or a difference. Your answer may be a function of n or a constant.]

from a

f(n)=logn

f(2n)=lg(2n)

f(2n)-f(n)=log2n-logn

lo(2*n)=lg2+lgn-lgn

f(2n)-f(n)=lg2+lgn-lgn

f(2n)-f(n)=log2

2.f(n)=lglgn

F(2n)=lglg2n

f(2n)-f(n)=lglg2n-lglgn

lg2n=lg2+lgn

lg(lg2+lgn)-lglgn

3.f(n)=100n

f(2n)=100(2n)

f(2n)/f(n)=200n/100n

f(2n)/f(n)=2

the time will double

4.f(n)=nlgn

f(2n)=2nlg2n

f(2n)-f(n)=2nlg2n-nlgn

f(2n)-f(n)=2n(lg2+lgn)-nlgn

2nLg2+2nlgn-nlgn

2nlg2+nlgn

5.we shall look for the ratio

f(n)=n^2

f(2n)=2n^2

f(2n)/(n)=2n^2/n^2

f(2n)/(n)=4n^2/n^2

f(2n)/(n)=4

the time will be times 4 the initial tiote tat ratio are used because it will be easier to calculate and compare

6.n^3

f(n)=n^3

f(2n)=(2n)^3

f(2n)/f(n)=(2n)^3/n^3

f(2n)/f(n)=8

the ratio will be times 8 the initial

7.2n

f(n)=2n

f(2n)=2(2n)

f(2n)/f(n)=2(2n)/2n

f(2n)/f(n)=2

5 0
3 years ago
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